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The HCF and LCM of two numbers are 12 and 9.one of the number is 54 respectively. Then another number is
- a)10
- b)11
- c)2
- d)3
Correct answer is option 'C'. Can you explain this answer?
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The HCF and LCM of two numbers are 12 and 9.one of the number is 54 re...
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The HCF and LCM of two numbers are 12 and 9.one of the number is 54 re...
Understanding HCF and LCM
HCF (Highest Common Factor) and LCM (Lowest Common Multiple) are important concepts in number theory. They relate to two numbers in a specific way, defined by the formula:
HCF × LCM = Product of the two numbers
In this case, we know:
- HCF = 12
- LCM = 9
- One number (let's call it A) = 54
Calculating the Other Number
Using the formula mentioned, we can substitute the known values:
12 × 9 = 54 × B
Where B is the other number we need to find.
Step-by-step Calculation
1. Calculate the product of HCF and LCM:
- 12 × 9 = 108
2. Set up the equation:
- 108 = 54 × B
3. Solve for B:
- B = 108 / 54
- B = 2
Thus, the other number is 2.
Conclusion
The correct answer is option 'C' (2). This means that when paired with 54, the number 2 satisfies both the HCF and LCM conditions given in the problem.
Key Points to Remember
- Always use the formula HCF × LCM = Product of the two numbers.
- The calculated product helps in finding the unknown number easily.
- Understanding HCF and LCM is crucial for solving number-related problems effectively.
HCF (Highest Common Factor) and LCM (Lowest Common Multiple) are important concepts in number theory. They relate to two numbers in a specific way, defined by the formula:
HCF × LCM = Product of the two numbers
In this case, we know:
- HCF = 12
- LCM = 9
- One number (let's call it A) = 54
Calculating the Other Number
Using the formula mentioned, we can substitute the known values:
12 × 9 = 54 × B
Where B is the other number we need to find.
Step-by-step Calculation
1. Calculate the product of HCF and LCM:
- 12 × 9 = 108
2. Set up the equation:
- 108 = 54 × B
3. Solve for B:
- B = 108 / 54
- B = 2
Thus, the other number is 2.
Conclusion
The correct answer is option 'C' (2). This means that when paired with 54, the number 2 satisfies both the HCF and LCM conditions given in the problem.
Key Points to Remember
- Always use the formula HCF × LCM = Product of the two numbers.
- The calculated product helps in finding the unknown number easily.
- Understanding HCF and LCM is crucial for solving number-related problems effectively.
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The HCF and LCM of two numbers are 12 and 9.one of the number is 54 respectively. Then another number isa)10b)11c)2d)3Correct answer is option 'C'. Can you explain this answer? for Teaching 2026 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about The HCF and LCM of two numbers are 12 and 9.one of the number is 54 respectively. Then another number isa)10b)11c)2d)3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Teaching 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The HCF and LCM of two numbers are 12 and 9.one of the number is 54 respectively. Then another number isa)10b)11c)2d)3Correct answer is option 'C'. Can you explain this answer?.
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